3 papers
cs.DC2024
Enhancing Computational Efficiency in Multiscale Systems Using Deep Learning of Coordinates and Flow Maps
Asif Hamid, Danish Rafiq, Shahkar Ahmad Nahvi +1
Complex systems often show macroscopic coherent behavior due to the interactions of microscopic agents like molecules, cells, or individuals in a population with their environment.…
cs.LG2024
RefreshNet: Learning Multiscale Dynamics through Hierarchical Refreshing
Junaid Farooq, Danish Rafiq, Pantelis R. Vlachas +1
Forecasting complex system dynamics, particularly for long-term predictions, is persistently hindered by error accumulation and computational burdens. This study presents RefreshNe…
math.DS2023
Hierarchical deep learning-based adaptive time-stepping scheme for multiscale simulations
Asif Hamid, Danish Rafiq, Shahkar Ahmad Nahvi +1
Multiscale is a hallmark feature of complex nonlinear systems. While the simulation using the classical numerical methods is restricted by the local \textit{Taylor} series constrai…